if AB=5X+3 and BC=7x-9 what is the value of AC? using the addition segment postulate

Assuming B is between A and C,

AC = (5x+3)+(7x-9) = 12x-6

To find the value of AC using the addition segment postulate, you need to add the lengths of AB and BC.

First, let's substitute the given values for AB and BC:
AB = 5x + 3
BC = 7x - 9

Now, add AB and BC:
AB + BC = (5x + 3) + (7x - 9)

To simplify the expression, combine like terms by adding the coefficients of x and the constant terms separately:
AB + BC = 5x + 7x + 3 - 9

Combine like terms:
AB + BC = 12x - 6

So, the value of AC is given by 12x - 6.